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-   -   Perimeter 97m. Width 2m more than half the length, what is the width? (https://www.askmehelpdesk.com/showthread.php?t=596855)

  • Sep 11, 2011, 07:34 PM
    Quizme
    Perimeter 97m. Width 2m more than half the length, what is the width?
    The perimeter of a swimming pool is 97m. The width is 2m more than half the length of the pool. Find the length and width of the pool.
  • Sep 11, 2011, 09:54 PM
    Eugeneus
    Width is 13.5; Length is 35
    ~~~~~~~~~~~~~~~~~~~~~~~~

    Let W = width; L = length.

    We know that W + 4 = (0.5) * (L)
    And
    2W + 2L = 97

    If W + 4 = (0.5) * (L) then (4W + 16) = 2L

    If 2W + 2L = 97 and 2L = 4W + 16, then 2W + (4W +16) = 97
    and then (2W + 4W) + 16 = 97
    and then 6W + 16 = 97
    and then 6W = 81
    and W = 81/6 = 13.5

    Since 2W + 2L = 97 and W = 13.5 then (2) * (13.5) + 2L = 97
    and 27 + 2L = 97
    and 2L = 70
    and L = 70/2
    and L = 35
  • Sep 12, 2011, 09:26 AM
    Unknown008
    I'm afraid that your solution is wrong Eugeneus.

    This gives the equation:
    W = 0.5L + 2

    When you half the length, you need to add 2 to have it equal to the width, since the width is longer.

    Quizme, could you try to solve those two equations?

    W = 0.5L + 2
    2L + 2W = 97

    But more importantly, do you understand how those two equations were made up?
  • Sep 27, 2011, 11:04 AM
    RPVega
    The two equations pertaining to this word
    problem are shown below:

    Equation #1: W = 0.5L + 2
    Equation #2: Perimeter = P = 2W + 2L = 97

    Now, solve the above system of equations
    for the variables L and W. (Hint:
    substitute the value for W in Equation #1,
    into Equation #2. Then, solve for L in
    the resultant Eq. #2.)

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